In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions.

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If we have two power series with the same interval of convergence, we can add or subtract the two series to create a new power series, also with the sam...

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We can use integration to develop a formula for calculating mass based on a density function. First we consider a thin rod or wire. Orient the rod so it...

Fundamental Theorem of Calculus, Part 1 5.3 The Fundamental Theorem of Calculus Fundamental Theorem of Calculus, Part 2 5.3 The Fundamental Theorem of Calculus G graph …

Are the following functions one-to-one over their domain of existence? Does the function have an inverse? If so, find the inverse ... of the function. J...

When we have a function that is a composition of two or more functions, we could use all of the techniques we have already learned to differentiate it. ...